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Finding the Third Proportional to 1,972,844 and 4,310,968

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Solution

The third proportional to 1,972,844 and 4,310,968 is: 9,420,129.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972,844 : 4,310,968 = 4,310,968 : x
  2. Step 2: Convert to fraction form
    1,972,844/4,310,968 = 4,310,968/x
  3. Step 3: Cross multiply
    1,972,844x = 4,310,968 × 4,310,968
  4. Step 4: Simplify right side
    1,972,844x = 18,584,445,097,024
  5. Step 5: Solve for x
    x = 18,584,445,097,024/1,972,844
  6. Step 6: Final answer
    x = 9,420,129.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.